Abstract
AbstractIn this work we consider equations of the form where P is any polynomial without constant term, and G is any polynomial without constant or linear terms. We prove that if u is a sufficiently smooth solution of the equation, such that for some , then there exists such that for every . Then, as an example of the application of this result, we employ it to show a unique continuation principle for the Kawahara equation, and for the generalized KdV hierarchy
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